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Finding the Fourth Proportional to 8,643.98, 12,946.30 and 7,646.47

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Solution

The fourth proportional to 8,643.98, 12,946.30 and 7,646.47 is: 11,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.98 : 12,946.30 = 7,646.47 : x
  2. Step 2: Convert to fraction form
    8,643.98/12,946.30 = 7,646.47/x
  3. Step 3: Cross multiply
    8,643.98x = 12,946.30 × 7,646.47
  4. Step 4: Simplify right side
    8,643.98x = 98,993,443.08
  5. Step 5: Solve for x
    x = 98,993,443.08/8,643.98
  6. Step 6: Final answer
    x = 11,452.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.